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Finding the Fourth Proportional to 603,398, 905,213.46 and 229,391.84

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Solution

The fourth proportional to 603,398, 905,213.46 and 229,391.84 is: 344,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,398 : 905,213.46 = 229,391.84 : x
  2. Step 2: Convert to fraction form
    603,398/905,213.46 = 229,391.84/x
  3. Step 3: Cross multiply
    603,398x = 905,213.46 × 229,391.84
  4. Step 4: Simplify right side
    603,398x = 207,648,581,182.17
  5. Step 5: Solve for x
    x = 207,648,581,182.17/603,398
  6. Step 6: Final answer
    x = 344,132.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.